We immediately note that 3 and 9 are multiples. Therefore, they are factorable. 9 goes into 3 three times, and 3 goes into three 1 time. Therefore, we can take out three from the whole expression to get 3(c - 3).
The volume of the cylinder is C, 753.6 mm³.
To find the volume of the cylinder, in cubic millimeters, we must first convert all of the measurements into millimeters. The only measurement that isn't in millimeters is height, and 1.5 centimeters is equal to 15 millimeters.
Now, we need to find the volume. The volume can be found by doing πr²h. Now we can substitute values and solve.
V = πr²h
V = 3.14(4)²(15)
Simplifying this, we get that V = 753.6, meaning that our answer is C, 753.6 mm³.
It is customary to work left to right, however that is not a rule. In order of operations, the actual rule is that multiplication/division occurs after parentheses, exponents, and before addition/subtraction...
PEMDAS order of operations
Parentheses, exponents, mutiplication/division, addition/subtraction.
7x12=84, plus 1 equals 85.
85/12=7, remainder of 1.
The answer is 85.
